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3 years ago

P and Q are points on the line

Mathematics

1 answer:

Alina [70]3 years ago

4 0

Answer:

P(0, 4 ), Q(2, 0 )

Step-by-step explanation:

To find P, with an x- coordinate of 0

Substitute x = 0 into the equation and solve for y

4(0) + 2y = 8 , that is

2y = 8 ( divide both sides by 2 )

y = 4

Thus P(0, 4 )

To find Q with a y- coordinate of 0

Substitute y = 0 into the equation and solve for x

4x + 2(0) = 8, that is

4x = 8 ( divide both sides by 4 )

x = 2

Thus Q(2, 0 )

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Points m is the midpoint of FG. Can you determine the value of a?

GenaCL600 [577]

Using the midpoint concept, it is found that the value of a is of a = 2.

<h3>What are the coordinates of the points?</h3>

Researching this problem on a search engine, the coordinates are given as follows:

F(b + 1, a + 2).

M(3,5).

(2a, 3b+3).

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the following system of equations can be built:

(b + 1 + 2a)/2 = 3.

b + 1 + 2a = 6.

b = 5 - 2a.

(a + 2 + 3b + 3)/2 = 5

a + 3b + 5 = 10

a + 3b = 5.

Since b = 5 - 2a, we have that:

a + 15 - 6a = 5.

5a = 10

a = 10/5

a = 2.

The value of a is of a = 2.

More can be learned about the mid-point concept at brainly.com/question/10956693

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6 0

2 years ago

6c^3 +30c / 3c^2 + 15

mario62 [17]

Hello there,

$6c^{3} +30c/ 3c^{2} +15 = 16c^{3}+15$

Hope this answer has helped you. If it has, Please help me out by marking it as brainliest. Thanks

Have a BRAINLY day.

7 0

3 years ago

5a + 2b is a A) monomial B) binomial C) trinomial

TiliK225 [7]

Answer:

binomial

Step-by-step explanation:

A binomial is a polynomial with 2 terms

5a+2b has two terms

8 0

3 years ago

An airplane flew with the wind for 2.5 hours and returned the same distance against the wind in 3.5 hours. If the cruising speed

KengaRu [80]

Answer:

60 miles per hour.

Step-by-step explanation:

Let r represent speed of wind blowing in miles per hour.

We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be $360+r$ .